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Finding the Fourth Proportional to 209,568.21, 314,352.42 and 69,326.84

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Solution

The fourth proportional to 209,568.21, 314,352.42 and 69,326.84 is: 103,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,568.21 : 314,352.42 = 69,326.84 : x
  2. Step 2: Convert to fraction form
    209,568.21/314,352.42 = 69,326.84/x
  3. Step 3: Cross multiply
    209,568.21x = 314,352.42 × 69,326.84
  4. Step 4: Simplify right side
    209,568.21x = 21,793,058,353.19
  5. Step 5: Solve for x
    x = 21,793,058,353.19/209,568.21
  6. Step 6: Final answer
    x = 103,990.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.